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Simplifying -2(2r + 4) = 28 + 2r Reorder the terms: -2(4 + 2r) = 28 + 2r (4 * -2 + 2r * -2) = 28 + 2r (-8 + -4r) = 28 + 2r Solving -8 + -4r = 28 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -8 + -4r + -2r = 28 + 2r + -2r Combine like terms: -4r + -2r = -6r -8 + -6r = 28 + 2r + -2r Combine like terms: 2r + -2r = 0 -8 + -6r = 28 + 0 -8 + -6r = 28 Add '8' to each side of the equation. -8 + 8 + -6r = 28 + 8 Combine like terms: -8 + 8 = 0 0 + -6r = 28 + 8 -6r = 28 + 8 Combine like terms: 28 + 8 = 36 -6r = 36 Divide each side by '-6'. r = -6 Simplifying r = -6
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